The Language is C and the software is MatLabs

3. (30 pts) (Problem 6.2) Determine the highest real root of f(x) = 2x3 11.7x2 + 17.7x 5 a) Graphically. b) Write a MATLAB program using the fixed-point method to determine the root with xo = 3 c) Write a MATLAB program using the Newton-Raphson method to determine the root with Xo = 3. d) Write a MATLAB program using the secant method to determine the root with x.1 = 3 and xo = 4. e) Compare the approximate relative errors between these three methods at the third iteration (initial value is the zeroth iteration). 3. (30 pts) (Problem 6.2) Determine the highest real root of f(x) = 2x3 11.7x2 + 17.7x 5 a) Graphically. b) Write a MATLAB program using the fixed-point method to determine the root with xo = 3 c) Write a MATLAB program using the Newton-Raphson method to determine the root with Xo = 3. d) Write a MATLAB program using the secant method to determine the root with x.1 = 3 and xo = 4. e) Compare the approximate relative errors between these three methods at the third iteration (initial value is the zeroth iteration)